ABox Abduction via Forgetting in ALC

Del-Pinto, W. and Schmidt, R. A. (2019)

In Van Hentenryck, P. and Zhou, Z.-H. (eds), Proceedings of the Thirty-Third AAAI Conference on Artificial Intelligence (AAAI-2019). AAAI Press, 2768-2775. BiBTeX, PDF, DOI link to publisher.

Abductive reasoning generates explanatory hypotheses for new observations using prior knowledge. This paper investigates the use of forgetting, also known as uniform interpola- tion, to perform ABox abduction in description logic (ALC) ontologies. Non-abducibles are specified by a forgetting signature which can contain concept, but not role, symbols. The resulting hypotheses are semantically minimal and consist of a disjunction of ABox axioms. These disjuncts are each independent explanations, and are not redundant with respect to the background ontology or the other disjuncts, representing a form of hypothesis space. The observations and hypotheses handled by the method can contain both atomic or complex ALC concepts, excluding role assertions, and are not restricted to Horn clauses. Two approaches to redundancy elimination are explored in practice: full and approximate. Using a prototype implementation, experiments were performed over a corpus of real world ontologies to investigate the practicality of both approaches across several settings.

Renate A. Schmidt
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Last modified: 21 Feb 20
Copyright © 2018 Renate A. Schmidt, School of Computer Science, Man Univ, schmidt@cs.man.ac.uk